International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/2825 2020 2020 Department of Mathematics, College of Education for Pure Science, University of Babylon, Hillah, Iraq. Tuqa Tuqa Department of Mathematics, College of Education for Pure Science, University of Babylon, Hillah, Iraq. Luay A. A. Al Al-Swidi Department of Mathematics, College of Education for Pure Science, University of Babylon, Hillah, Iraq. Ali H. M. Al Al-Obaidi We have new introduced two fundamental new concept that characterize partner multineutrosophic sets, the first of which we call the locally partner multineutrosophic interior and the second the locally partner fuzzy exterior, in addition to a concept related to set composition that we call detachable set, with the most important relationships to which these concept are linked and the properties that we have reached with an analytical view of them.   2024 2024 172 178 10.54216/IJNS.240315 https://www.americaspg.com/articleinfo/21/show/2825